

The
AxSchanuel Conjecture for Variations of Hodge
Structures
with Benjamin
Bakker
Inventiones mathematicae 217 (1), (2019) 7794 


AxSchanuel for Shimura Varieties
with Jonathan
Pila and Ngaiming Mok
Annals of Mathematics, 189 (3), (2019) 945978 


Cohen
Lenstra Heuristics for Étale Group Schemes and
Symplectic Pairings
with
Michael Lipnowski
Compositio Mathematica 155 (4), (2019) 758775 


Constructing Elliptic Curves from Galois
Representations
with
Andrew Snowden
Compositio Mathematica 154 (10), (2018) 20452054



Unlikely
intersections in finite characteristic
with Ananth
Shankar
Forum of Mathematics, Sigma 6 (2018) 


How large
is A_{g}(F_{q})?
with
Michael Lipnowski
Duke Mathematical Journal 167 (18), (2018)
34033453 


The
geometric torsion conjecture for abelian varieties
with real multiplication
with
Benjamin Bakker
Journal of Differential Geometry 109 (3), (2018)
379409 


The
Kodaira dimension of complex hyperbolic manifolds with
cusps
with
Benjamin Bakker
Compositio Mathematica 154 (3), (2018) 549564 


Equidistribution
in Bun_{2}(P^{1})
with
Vivek Shende
Duke Math. Journal. 166 (2017), no. 18 


Multiplicative relations among singular moduli
with
Jonathan Pila
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 17 (2017), no. 4,
13571382 


ptorsion
monodromy representations of elliptic curves over
geometric function fields
with
Benjamin Bakker
Annals of Mathematics 184, No. 3 (2016), 709744 


The
AndréOort conjecture for A_{g}
Annals of Mathematics, 187 (2), (2015) 379390 


AxLindemann
for A_{g}
with
Jonathan Pila
Annals of Mathematics 179, No. 2 (2014), 659681 


Counting S5
quintic fields with a power saving error term
With Arul
Shankar
Forum of Mathematics, Sigma 2 (2014) 


AxSchanuel
for the jfunction
with
Jonathan Pila
Duke Mathematical Journal 165 (13), (2016)
25872605 


The
AndréOort conjecture for the moduli space of Abelian
Surfaces
with
Jonathan Pila
Compositio Mathematica 149 (2013), Issue 02,
204216 


Nonsplit
Sums of Coefficients of GL(2)Automorphic Forms
with
Nicholas Templier
Israel Journal of Mathematics 195 (2013),Issue 2 ,
677723 


The
Existence of an Abelian Variety over the Algebraic
Numbers isogenous to no Jacobian
Ann. of Math. 176 (2012), 637650 


BrauerSiegel
for
Arithmetic Tori and lower bounds for Galois orbits of
special points
J. Amer. Math. Soc. 25 (2012), 10911117 


Local
spectral equidistribution for Siegel modular forms and
applications
with Abishek
Saha and Emmanuel
Kowalski
Compositio Mathematica 148 (2012), Issue 2,
335384 


A note on
Fourier coefficients of Poincare series
with Abishek
Saha and Emmanuel
Kowalski
Mathematika 57 (2011), Issue 1, 3140 


Metaplectic Ramanujan conjecture over function fields
with applications to quadratic forms
with Ali Altug
International Mathematics Research Notices (13), (2014)
34653558 


On the
DavenportHeilbronn theorems and second order terms
with Manjul
Bhargava and Arul Shankar
Inventiones mathematicae 193 (2013), Issue 2,
439499 


Sumproduct
estimates for rational functions
with Boris Bukh
Proc. Lond. Math. Soc. 104 (2012),126 


An
analysis of a warlike card game
with Boris
Alexeev
American Mathematical Monthly 119 (2012), no. 9,
793795 


Equations
resolving a conjecture of Rado on partition regularity
with Boris
Alexeev
Journal of Combinatorial Theory, Series A 117
(2010), no. 7, 10081010. 


On Linnik and Selbergs Conjecture about Sums of
Kloosterman Sums
with Peter
Sarnak
Manin Festschrift 157, Progress in Math., Birkhauser. 